What is the Greatest Common Factor of 34804 and 34815?

Greatest common factor (GCF) of 34804 and 34815 is 11.

GCF(34804,34815) = 11

We will now calculate the prime factors of 34804 and 34815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34804 and 34815.

How to find the GCF of 34804 and 34815?

We will first find the prime factorization of 34804 and 34815. After we will calculate the factors of 34804 and 34815 and find the biggest common factor number .

Step-1: Prime Factorization of 34804

Prime factors of 34804 are 2, 7, 11, 113. Prime factorization of 34804 in exponential form is:

34804 = 2² × 7¹ × 11¹ × 113¹

Step-2: Prime Factorization of 34815

Prime factors of 34815 are 3, 5, 11, 211. Prime factorization of 34815 in exponential form is:

34815 = 3¹ × 5¹ × 11¹ × 211¹

Step-3: Factors of 34804

List of positive integer factors of 34804 that divides 34804 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 113, 154, 226, 308, 452, 791, 1243, 1582, 2486, 3164, 4972, 8701, 17402

Step-4: Factors of 34815

List of positive integer factors of 34815 that divides 34804 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 211, 633, 1055, 2321, 3165, 6963, 11605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34804 and 34815. The biggest common factor number is the GCF number.
So the greatest common factor 34804 and 34815 is 11.

Also check out the Least Common Multiple of 34804 and 34815